Unsteady MHD bio-nanoconvective anistropic slip flow past a vertical rotating cone

Abstract

The MHD bioconvective of nanofluid flow past a rotating cone with anistropic velocity slips, thermal slip, mass slip and microorganism slips is studied theoretically and numerically. Suitable similarity transformations are used to transform the governing boundary-layer equations into non-linear ODE which were then solved numerically. The effect of the governing parameters on the dimensionless velocities, temperature, nanoparticle volume fraction (concentration), density of motile microorganisms as well as on the local skin friction, local Nusselt, Sherwood number and the local motile microorganism numbers are examined. Results from this investigation were compared with previous related investigations and good agreement was found. It is found that for both in the presence and absence of magnetic field, increasing velocity slips reduce the friction factor. It is also found that increasing thermal slip, mass slip and microorganism slips strongly reduce heat, mass and microorganism transfer, respectively. This study is relevant in biochemical industries in which microfluidic devices involved.

Significance of magnetohydrodynamic Williamson Sutterby nanofluid due to a rotating cone with bioconvection and anisotropic slip

“…Before the continuation of the computational procedure, the above‐mentioned numeric scheme is validated in limiting cases when compared with existing studies [34, 35]. Table 1, contains the outcomes for $$-\theta ^{\prime }(0)$$ (heat transfer rate), at the cone wall for varying values of $$Pr$$ and λ when $$Nr=0.1, Sc=5$$ and all other parameters are considered zero.…”

On Time-Dependent Rheology of Sutterby Nanofluid Transport across a Rotating Cone with Anisotropic Slip Constraints and Bioconvection

“…Figure 2 portrays the slowing behavior of x-velocity against mounting inputs of unsteadiness and magnetic parameters. In the presence of the magnetic force field, the reactive Lorentz force comes into play and retards the flow (see [ 31 ]). In unsteady flow, after the first jerk, the stretch in boundary diminishes and the fluid in the boundary slows down.…”

“…To the best of the researcher’s knowledge, no analysis of the unsteady Sutterby nano-fluid, heat, and mass characteristics of ordinary nanofluid flow across an elongated cone, keeping in view the conical boundaries in various technological industrial applications, has been performed. Latiff et al [ 31 ] examined theoretically and arithmetically the MHD bioconvective of nanofluid flow near a spinning cone with anisotropic velocity slips, heat slips, density slips, and microbes slips. However, they did not contemplate unsteady Sutterby nanofluid and, due to sedimentation of nanofluids, we use living micro-organisms.…”